EASY
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Two coherent monochromatic light beams of intensities I and 4I superimpose. The maximum and minimum possible intensities in the resulting beam are;

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Important Questions on Wave Optics and Interference

MEDIUM

On a hot summer night, the refractive index of air is the smallest near the ground and increases with a height from the ground. When a light beam is directed horizontally, the Huygens' principle leads us to conclude that as it travels, the light beam,

MEDIUM
What is the geometrical shape of the wavefront for light emerging out of a convex lens when a point-source is placed at the focus of the lens?
HARD
Discuss Huygens' principle. Prove the laws of reflection of light using this principle.
MEDIUM
In which of the following cases we obtain a plane wavefront ?
EASY
When a ray of light is incident normally on a surface, then
EASY
The shape of the wavefront of a wave with respect to the wave motion is
HARD
The velocity of particle A is 0.1m/s and that of particle B is 0.05m/s.. If the mass of particle B is five times that of particle A, then the ratio of de Broglie wavelength associated with particles A and B is
MEDIUM
The shown figure represents a wave front AB which passes from air to another transparent medium and produces a new wave front CD after refraction. The refractive index of the medium is (PQ is the boundary between air and the medium).

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MEDIUM
Explain how Corpuscular theory predicts the speed of light in a medium, say, water, to be greater than the speed of light in vacuum. Is the prediction confirmed by experimental determination of the speed of light in water? If not, which alternative picture of light is consistent with experiment?
EASY
Wave front of a wave has direction with wave motion
MEDIUM
The figure shows a surface XY separating two transparent media, medium-I and medium-II. The lines ab and cd represents wave fronts of a light wave travelling in medium-I and incident on XY. The lines ef and gh represent wave fronts of light wave in medium-II after refraction the


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The phase of the light wave at c, d, e and f are ϕc, ϕd, ϕe, ϕf respectively. It is given that ϕcϕf , then
MEDIUM

The figure shows a surface XY separating two transparent media, medium-I and medium-II. The lines ab and cd represents wave fronts of a light wave travelling in medium-I and incident on XY. The lines ef and gh represent wave fronts of light wave in medium-II after refraction the Speed of light is
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EASY

Statement (S): Using Huygen's eye-piece measurements can be taken but are not correct.

Reason (R): The cross wires, scale and final image are not magnified proportionately because the image of the objects is magnified by two lenses, whereas the cross wire scale is magnified by one lens only.

Identify the correct one

HARD

A monochromatic plane wave of speed c and wavelength λ  is diffracted at a small aperture. The diagram illustrates successive wavefronts (vibrating in the same phase). After what time will some portion of the wavefront XY reach P?

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EASY
Two particles A and B are in motion. If the wavelength associated with particle A is 8×10-7m, Calculate the wavelength associated with particle B if its momentum is 1/4 times A.
MEDIUM
What is the shape of the wavefront in each of the following cases:
(a) Light diverging from a point source.
(b) Light emerging out of a convex lens when a point source is placed at its focus.
(c) The portion of the wavefront of light from a distant star intercepted by the Earth.
MEDIUM
A wavefront is represented by the plane y=3-x. The propagation of wave takes place at
MEDIUM
Assertion: For a point light source, frequency of light emitted is numerically equal to number of photons emitted per second.

Reason: According to wave theory frequency of light wave is equivalent to number of cycles completed per second and wave-particle duality explains the dual nature of electromagnetic waves as a wave or as a corpuscle.
HARD
A particle "A" moving with a certain velocity has a de-Broglie wavelength of 1 Å . If the particle B has mass 25% of that of A and velocity 75% of that of A, then de-Broglie wavelength of B will be approximately